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70242385920 = 214357219307
BaseRepresentation
bin100000101101011000…
…1011100000000000000
320201022022102220211220
41001122301130000000
52122324022322140
652134030035040
75034446300100
oct1013261340000
9221268386756
1070242385920
1127875aa5213
1211744048a80
136815722485
143584cad200
151c61a3dbd0
hex105ac5c000

70242385920 has 720 divisors, whose sum is σ = 276123576960. Its totient is φ = 15160836096.

The previous prime is 70242385919. The next prime is 70242385921. The reversal of 70242385920 is 2958324207.

It is an interprime number because it is at equal distance from previous prime (70242385919) and next prime (70242385921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70242385921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228802407 + ... + 228802713.

It is an arithmetic number, because the mean of its divisors is an integer number (383504968).

Almost surely, 270242385920 is an apocalyptic number.

70242385920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70242385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138061788480).

70242385920 is an abundant number, since it is smaller than the sum of its proper divisors (205881191040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70242385920 is a wasteful number, since it uses less digits than its factorization.

70242385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 70242385920 in words is "seventy billion, two hundred forty-two million, three hundred eighty-five thousand, nine hundred twenty".